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Finding the Fourth Proportional to 9,784.80, 14,677.04 and 2,389.28

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Solution

The fourth proportional to 9,784.80, 14,677.04 and 2,389.28 is: 3,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.80 : 14,677.04 = 2,389.28 : x
  2. Step 2: Convert to fraction form
    9,784.80/14,677.04 = 2,389.28/x
  3. Step 3: Cross multiply
    9,784.80x = 14,677.04 × 2,389.28
  4. Step 4: Simplify right side
    9,784.80x = 35,067,558.13
  5. Step 5: Solve for x
    x = 35,067,558.13/9,784.80
  6. Step 6: Final answer
    x = 3,583.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.